Cremona's table of elliptic curves

1914 = 2 · 3 · 11 · 29

Field	Data	Notes
Atkin-Lehner	2- 3- 11+ 29+	Signs for the Atkin-Lehner involutions
Class	1914m	Isogeny class
Conductor	1914	Conductor
∏ cp	108	Product of Tamagawa factors cp
deg	2592	Modular degree for the optimal curve
Δ	11653595712 = 26 · 39 · 11 · 292	Discriminant
Eigenvalues	2- 3-  0 -4 11+ -4 -6 -4	Hecke eigenvalues for primes up to 20
Equation	[1,0,0,-4588,119120]	[a1,a2,a3,a4,a6]
Generators	[-76:212:1]	Generators of the group modulo torsion
j	10680703423890625/11653595712	j-invariant
L	4.435230632237	L(r)(E,1)/r!
Ω	1.2674590734078	Real period
R	1.1664362516816	Regulator
r	1	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	6	Number of elements in the torsion subgroup
Twists	15312p1 61248l1 5742j1 47850f1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 1914m1

a2	a3	a5	a7	a11	a13	a17	a19	a23	a29	a31	a37	a41	a43	a47	a53	a59	a61	a67	a71	a73	a79	a83	a89	a97
-	-	0	-4	+	-4	-6	-4	0	+	-4	2	6	8	6	0	-6	2	-4	0	-4	-10	12	12	2

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Quadratic twists for elliptic curve 1914m1

-4	8	-3	5	-7	-11	29
15312p1	61248l1	5742j1	47850f1	93786br1	21054o1	55506k1

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Data from Elliptic Curve Data by J. E. Cremona.
Design inspired by The Modular Forms Explorer by William Stein.

Part of Computational Number Theory
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